5461260294600 has 864 divisors, whose sum is σ = 21417157026720. Its totient is φ = 1291593600000.

The previous prime is 5461260294583. The next prime is 5461260294619. The reversal of 5461260294600 is 64920621645.

5461260294600 is a `hidden beast` number, since 5 + 4 + 6 + 12 + 6 + 0 + 29 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 241093275 + ... + 241115925.

Almost surely, 2^{5461260294600} is an apocalyptic number.

5461260294600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461260294600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10708578513360).

5461260294600 is an abundant number, since it is smaller than the sum of its proper divisors (15955896732120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5461260294600 is a wasteful number, since it uses less digits than its factorization.

5461260294600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22745 (or 22713 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 5461260294600 in words is "five trillion, four hundred sixty-one billion, two hundred sixty million, two hundred ninety-four thousand, six hundred".